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55007424 = 2638131
BaseRepresentation
bin1101000111010…
…1100011000000
310211111200000000
43101311203000
5103040214144
65243000000
71235361333
oct321654300
9124450000
1055007424
112906098a
1216509000
13b51c694
14743c61a
154c68769
hex34758c0

55007424 has 126 divisors (see below), whose sum is σ = 164974524. Its totient is φ = 18195840.

The previous prime is 55007399. The next prime is 55007431. The reversal of 55007424 is 42470055.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419839 + ... + 419969.

Almost surely, 255007424 is an apocalyptic number.

55007424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82487262).

55007424 is an abundant number, since it is smaller than the sum of its proper divisors (109967100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55007424 is an frugal number, since it uses more digits than its factorization.

55007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 55007424 is about 7416.6989961842. The cubic root of 55007424 is about 380.3123562876.

Adding to 55007424 its reverse (42470055), we get a palindrome (97477479).

The spelling of 55007424 in words is "fifty-five million, seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 243 262 288 324 393 432 486 524 576 648 729 786 864 972 1048 1179 1296 1458 1572 1728 1944 2096 2187 2358 2592 2916 3144 3537 3888 4192 4374 4716 5184 5832 6288 6561 7074 7776 8384 8748 9432 10611 11664 12576 13122 14148 15552 17496 18864 21222 23328 25152 26244 28296 31833 34992 37728 42444 46656 52488 56592 63666 69984 75456 84888 95499 104976 113184 127332 139968 169776 190998 209952 226368 254664 286497 339552 381996 419904 509328 572994 679104 763992 859491 1018656 1145988 1527984 1718982 2037312 2291976 3055968 3437964 4583952 6111936 6875928 9167904 13751856 18335808 27503712 55007424