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2542624357 = 73134389149
BaseRepresentation
bin1001011110001101…
…0101111001100101
320120012101200220111
42113203111321211
520201402434412
61100145133021
7120002644000
oct22743257145
96505350814
102542624357
111095277349
125ab62a171
13316a04670
141a1988537
15ed34a2a7
hex978d5e65

2542624357 has 64 divisors (see below), whose sum is σ = 3326400000. Its totient is φ = 1929844224.

The previous prime is 2542624303. The next prime is 2542624373. The reversal of 2542624357 is 7534262452.

It is a happy number.

It is not a de Polignac number, because 2542624357 - 27 = 2542624229 is a prime.

Its product of digits (403200) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542624157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17064519 + ... + 17064667.

It is an arithmetic number, because the mean of its divisors is an integer number (51975000).

Almost surely, 22542624357 is an apocalyptic number.

It is an amenable number.

2542624357 is a deficient number, since it is larger than the sum of its proper divisors (783775643).

2542624357 is a wasteful number, since it uses less digits than its factorization.

2542624357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 403200, while the sum is 40.

The square root of 2542624357 is about 50424.4420593823. The cubic root of 2542624357 is about 1364.8787356661.

The spelling of 2542624357 in words is "two billion, five hundred forty-two million, six hundred twenty-four thousand, three hundred fifty-seven".

Divisors: 1 7 13 43 49 89 91 149 301 343 559 623 637 1043 1157 1937 2107 3827 3913 4361 4459 6407 7301 8099 13261 13559 14749 26789 27391 30527 44849 49751 51107 56693 83291 92827 94913 172393 187523 191737 313943 348257 396851 570223 583037 649789 664391 1206751 1312661 2197601 2437799 3991561 4081259 4548523 7412899 8447257 17064593 27940927 28568813 51890293 59130799 195586489 363232051 2542624357